Y=-6x+1 fill in the table using this function rule.

 Slope = -12.000/2.000 = -6.000

 x-intercept = 1/6 = 0.16667

 y-intercept = 1/1 = 1.00000

Steps down below

Step-by-step explanation:

Step  1  :

Equation of a Straight Line

1.1     Solve   y+6x-1  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y+6x-1  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 1/1 so this line "cuts" the y axis at y= 1.00000

 y-intercept = 1/1  =  1.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 1/6 Our line therefore "cuts" the x axis at x= 0.16667

 x-intercept = 1/6  =  0.16667  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.000 and for x=2.000, the value of y is -11.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -11.000 - 1.000 = -12.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -12.000/2.000 = -6.000

Hope this helps.

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step-by-step explanation: